Higher \({\varepsilon}\)-Poles and Logarithms in the MS-Like Schemes from the Algebraic Structure of the Renormalization Group

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2025年8月1日

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N. P. Meshcheriakov,
V. V. Shatalova,
K. V. Stepanyantz

摘要

Abstract

We investigate the structure of renormalization constants within the MS-like renormalization prescriptions for a version of dimensional regularization in which the dimensionful regularization parameter \(\Lambda\) differs from the renormalization point \(\mu\) . Namely, we rewrite the all-loop equations relating coefficients at higher \(\varepsilon\) -poles and higher powers of \(\ln\Lambda/\mu\) to the coefficients of the renormalization group functions in a simple unified form. It is argued that this form follows from the algebraic structure of the renormalization group.